Last visit was: 23 Apr 2024, 16:12 It is currently 23 Apr 2024, 16:12

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
SORT BY:
Kudos
Tags:
Show Tags
Hide Tags
Intern
Intern
Joined: 21 Jan 2019
Posts: 4
Own Kudos [?]: 9 [8]
Given Kudos: 3
Send PM
Director
Director
Joined: 27 Oct 2018
Status:Manager
Posts: 683
Own Kudos [?]: 1857 [2]
Given Kudos: 200
Location: Egypt
Concentration: Strategy, International Business
GPA: 3.67
WE:Pharmaceuticals (Health Care)
Send PM
GMAT Club Reviews PM Intern
Joined: 10 Apr 2018
Posts: 532
Own Kudos [?]: 754 [2]
Given Kudos: 522
Location: India
Schools: ISB'22 (D)
GMAT 1: 680 Q48 V34
GPA: 3.3
Send PM
Director
Director
Joined: 27 Oct 2018
Status:Manager
Posts: 683
Own Kudos [?]: 1857 [1]
Given Kudos: 200
Location: Egypt
Concentration: Strategy, International Business
GPA: 3.67
WE:Pharmaceuticals (Health Care)
Send PM
Re: Is x greater than 3? [#permalink]
1
Kudos
statement 1: x >0
x can be 2 or 10 , so clearly insufficient

statement 2: \(\sqrt{x^{3}-9x+4}\) > \(2\)
\(x^{3}-9x+4\) > \(4\)
\(x^{3}-9x\) > \(0\)
\(x(x^{2}-9)\) > \(0\)
\(x(x-3)(x+3)\) > \(0\)
so we have two valid intervals: \(x\) > \(3\) and \(0\) > \(x\) > \(-3\) . since one of them is \(> 3\) and the other is \(< 3\), so insufficient

by combining 1 and 2:
knowing \(x\) > \(0\) excludes the interval \(0\) > \(x\) > \(-3\), so left with the other interval \(x\) > \(3\), so sufficient
GMAT Club Reviews PM Intern
Joined: 10 Apr 2018
Posts: 532
Own Kudos [?]: 754 [1]
Given Kudos: 522
Location: India
Schools: ISB'22 (D)
GMAT 1: 680 Q48 V34
GPA: 3.3
Send PM
Is x greater than 3? [#permalink]
1
Kudos
sfoo wrote:
Question for managing time: how did you all get -3<x<0 quickly enough? were you able to test values within the time limit or did you surmise from the shape of a cubic graph?


Check out the below link to learn how to quickly find solutions for such inequalities:

https://gmatclub.com/forum/wavy-line-me ... 24319.html
Manager
Manager
Joined: 13 Oct 2018
Posts: 76
Own Kudos [?]: 65 [0]
Given Kudos: 6
Location: India
GPA: 3.1
WE:Information Technology (Computer Software)
Send PM
Is x greater than 3? [#permalink]
Answer is C .

1. x> 0 no sufficent
2. if we square both side ,

we get x^3-9x+4 > 4
=> x^3-9x>4
x(x^2 -9)>0
x(x-3)(x+3) >0

Not sufficent .

If we combine both,

we get x>0 , it means , x-3 should be greater than 0 or x >3

So answer is C . Both are sufficient.

Hit Kudos now ??

Posted from my mobile device

Originally posted by kumarankit01 on 24 Feb 2019, 00:46.
Last edited by kumarankit01 on 24 Feb 2019, 00:47, edited 1 time in total.
Intern
Intern
Joined: 21 Jan 2019
Posts: 4
Own Kudos [?]: 9 [0]
Given Kudos: 3
Send PM
Re: Is x greater than 3? [#permalink]
Question for managing time: how did you all get -3<x<0 quickly enough? were you able to test values within the time limit or did you surmise from the shape of a cubic graph?
Manager
Manager
Joined: 03 Sep 2019
Posts: 105
Own Kudos [?]: 46 [0]
Given Kudos: 40
Send PM
Re: Is x greater than 3? [#permalink]
Hi,

can someone help me with this question? I think there is some gap in my understanding. From stat1 we got that x>0. From Stat2 we got that x>0 or x>-3 or x>3. But when we combine the two statements we are getting x>0 or x>3. How we can come up with the conclusion that x will be greater than 3.
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618586 [0]
Given Kudos: 81563
Send PM
Re: Is x greater than 3? [#permalink]
Expert Reply
agar123 wrote:
Hi,

can someone help me with this question? I think there is some gap in my understanding. From stat1 we got that x>0. From Stat2 we got that x>0 or x>-3 or x>3. But when we combine the two statements we are getting x>0 or x>3. How we can come up with the conclusion that x will be greater than 3.


The ranges you get are not correct. I think you should brush up fundamentals on inequalities. I think the links below should help.

9. Inequalities



For more check Ultimate GMAT Quantitative Megathread



Hope it helps.
Manager
Manager
Joined: 03 Sep 2019
Posts: 105
Own Kudos [?]: 46 [0]
Given Kudos: 40
Send PM
Re: Is x greater than 3? [#permalink]
Bunuel wrote:
agar123 wrote:
Hi,

can someone help me with this question? I think there is some gap in my understanding. From stat1 we got that x>0. From Stat2 we got that x>0 or x>-3 or x>3. But when we combine the two statements we are getting x>0 or x>3. How we can come up with the conclusion that x will be greater than 3.


The ranges you get are not correct. I think you should brush up fundamentals on inequalities. I think the links below should help.

9. Inequalities



For more check Ultimate GMAT Quantitative Megathread



Hope it helps.


Thank you for the link. will rebrush my basic first.. :)
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 32628
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: Is x greater than 3? [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
Re: Is x greater than 3? [#permalink]
Moderator:
Math Expert
92883 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne